Question

A cycle was sold at a gain of 10%.Had it been sold for Rs.99 more,the gain would have been 12%.Find the cost price of the cycle.

Answer 1

best,short and hopeful answer I think

Answer 2

Answer:

Rs 4950

Step-by-step explanation:

Let the original cost price be 'x'. It is sold at a gain of 10%, so

selling price = x(1 + r/100)

                    = x(1 + 10/100)

                    = (11x/10)

If it had been sold for Rs 99 more, the gain would have been 12%:

CP = x   ;  SP = (11x/10) + 260 ; gain = 12%

        Using, gain% = (SP - CP)/CP * 100%

⇒ 12% = ((11x/10)+99 - x)/x  * 100%

⇒ 12x = (x/10 + 99) * 100

⇒ 12x = 10x + 9900

⇒ 12x - 10x = 9900

⇒ 2x =9900

⇒ x = 4950